Topic Conditional Probability I NEED AS MANY STEPS SHOWN AS

Topic: Conditional Probability

I NEED AS MANY STEPS SHOWN AS POSSIBLE PLEASE I am having a hard time with this topic

A king has two children. What is the probability that both are boys, given that

a) the first child born is a boy?

b) at least one child is a boy?

Solution

a) Prob that both are boys given first one is a boy= Prob that second one is a boy = 0.5

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b) Prob that atleast one is a boy = P(1 boy or 2 boys) = 1-P(2 girls) = 1-(0.5)(0.5) =0.75